#include "complex.h"
#include <math.h>
#include "mathadd.h"

Functions
Complex	complex (double re, double im)
	constructor.
double	complex_abs (Complex a)
	absolute value of complex number.
Complex	complex_add (Complex a, Complex b)
	complex addition.
Complex	complex_bilinear_transform (Complex pz)
	bilinear transform of a complex number.
Complex	complex_conj (Complex a)
	complex conjugate.
Complex	complex_div (Complex a, Complex b)
	complex division.
Complex	complex_exp (Complex a)
	exponential function of a complex number.
Complex	complex_mul (Complex a, Complex b)
	complex multiplication.
Complex	complex_mul_double (Complex a, double b)
	complex multiplication with real number.
Complex	complex_neg (Complex a)
	complex negate.
Complex	complex_sqrt (Complex x)
	complex square root.
Complex	complex_sub (Complex a, Complex b)
	complex subtraction.

Function Documentation

constructor.

Parameters:

	re	real part
	im	imaginary part

Definition at line 30 of file complex.c.

double complex_abs ( Complex a )

absolute value of complex number.

Definition at line 72 of file complex.c.

complex addition.

Definition at line 39 of file complex.c.

Complex complex_bilinear_transform ( Complex pz )

bilinear transform of a complex number.

Definition at line 131 of file complex.c.

Complex complex_conj ( Complex a )

complex conjugate.

Definition at line 92 of file complex.c.

complex division.

this is

$\frac{(a + bi)}{(c + di)} = \left({ac + bd \over c^2 + d^2}\right) + \left( {bc - ad \over c^2 + d^2} \right)i$

Definition at line 122 of file complex.c.

Complex complex_exp ( Complex a )

exponential function of a complex number.

this is

$\exp( a+bi ) = \exp( a )\cdot (\cos b + i\sin b )$

Definition at line 83 of file complex.c.

complex multiplication.

Definition at line 55 of file complex.c.

complex multiplication with real number.

Definition at line 64 of file complex.c.

Complex complex_neg ( Complex a )

complex negate.

Definition at line 99 of file complex.c.

Complex complex_sqrt ( Complex x )

complex square root.

Definition at line 107 of file complex.c.

complex subtraction.

Definition at line 47 of file complex.c.

src/complex.c File Reference